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Simplifying 7(y + -1) + -8 = -2(-5y + 3) + -9y Reorder the terms: 7(-1 + y) + -8 = -2(-5y + 3) + -9y (-1 * 7 + y * 7) + -8 = -2(-5y + 3) + -9y (-7 + 7y) + -8 = -2(-5y + 3) + -9y Reorder the terms: -7 + -8 + 7y = -2(-5y + 3) + -9y Combine like terms: -7 + -8 = -15 -15 + 7y = -2(-5y + 3) + -9y Reorder the terms: -15 + 7y = -2(3 + -5y) + -9y -15 + 7y = (3 * -2 + -5y * -2) + -9y -15 + 7y = (-6 + 10y) + -9y Combine like terms: 10y + -9y = 1y -15 + 7y = -6 + 1y Solving -15 + 7y = -6 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -15 + 7y + -1y = -6 + 1y + -1y Combine like terms: 7y + -1y = 6y -15 + 6y = -6 + 1y + -1y Combine like terms: 1y + -1y = 0 -15 + 6y = -6 + 0 -15 + 6y = -6 Add '15' to each side of the equation. -15 + 15 + 6y = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 6y = -6 + 15 6y = -6 + 15 Combine like terms: -6 + 15 = 9 6y = 9 Divide each side by '6'. y = 1.5 Simplifying y = 1.5
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